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Finding the Third Proportional to 75,986 and 164,850

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Solution

The third proportional to 75,986 and 164,850 is: 357,638.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,986 : 164,850 = 164,850 : x
  2. Step 2: Convert to fraction form
    75,986/164,850 = 164,850/x
  3. Step 3: Cross multiply
    75,986x = 164,850 × 164,850
  4. Step 4: Simplify right side
    75,986x = 27,175,522,500
  5. Step 5: Solve for x
    x = 27,175,522,500/75,986
  6. Step 6: Final answer
    x = 357,638.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.